10010313 has 24 divisors (see below), whose sum is σ = 15507648. Its totient is φ = 6206112.

The previous prime is 10010311. The next prime is 10010317. The reversal of 10010313 is 31301001.

It is not a de Polignac number, because 10010313 - 2¹ = 10010311 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10010295 and 10010304.

It is not an unprimeable number, because it can be changed into a prime (10010311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7006 + ... + 8312.

It is an arithmetic number, because the mean of its divisors is an integer number (646152).

Almost surely, 2^10010313 is an apocalyptic number.

It is an amenable number.

10010313 is a deficient number, since it is larger than the sum of its proper divisors (5497335).

10010313 is a wasteful number, since it uses less digits than its factorization.

10010313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1373 (or 1370 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 10010313 is about 3163.9078684437. The cubic root of 10010313 is about 215.5175058408.

Adding to 10010313 its reverse (31301001), we get a palindrome (41311314).

The spelling of 10010313 in words is "ten million, ten thousand, three hundred thirteen".